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Question on Pi!

  1. Mar 16, 2005 #1
    I was wondering if there are any formulations of Pi or e that use "n-euclid space" to approximate it? Or really just the use of any linear algebra to approximate Pi or e?


    Derek Mohammed
  2. jcsd
  3. Mar 16, 2005 #2
    Nagell 1951), and Liouville proved in 1844 that e does not satisfy any quadratic equation with integral coefficients (i.e., if it is algebraic, it must be algebraic of degree greater than 2).

    (Mathworld on e)

    almost the same goes for pi.

    [cutie of the month: pi(pi + 1/e - 1/(4(pi^3)))= 11.0000014549696...]
  4. Mar 18, 2005 #3


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    Excuse me?? I was under the impression that Liouville proved that a number (that he constructed for the purpose) was transcendental, Hermite proved that the number e was transcendental in 1873 and Lindeman proved that pi was transcendental in 1882.
  5. Mar 18, 2005 #4
    Last edited: Mar 18, 2005
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